Mathematics
Grade10
Easy
Question
What is the discriminant value of the equation
?
- -11
- 1
- 2
- Either 1 or 2.
0
Hint:
Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation
The correct answer is: -11
Step 1 of 1:
We have given an equation ![x to the power of 2 end exponent plus 3 x plus 5 equals 0](data:image/png;base64,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)
Now,
![b to the power of 2 end exponent minus 4 a c equals 3 to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 5](data:image/png;base64,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)
![equals negative 11 less than 0](data:image/png;base64,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)
The discriminant value is less than zero, so it has no real solution.
The discriminant is the part of the quadratic formula found within the square root.